Global attractivity of a higher order nonlinear difference equation with unimodal terms

• Autorzy: Almaslokh Abdulaziz , Qian Chuanxi

Identyfikatory

DOI

10.7494/OpMath.2023.43.2.131

• Języki publikacji: EN

Abstrakty

EN

In the present paper, we study the asymptotic behavior of the following higher order nonlinear difference equation with unimodal terms x(n + 1) = ax(n) + bx(n)g(x(n)) + cx(n − k)g(x(n − k)), n = 0, 1, . . . , where a, b and c are constants with 0 < a < 1, 0 ≤ b < 1, 0 ≤ c < 1 and a + b + c = 1, g ∈ C[[0,∞), [0,∞)] is decreasing, and k is a positive integer. We obtain some new sufficient conditions for the global attractivity of positive solutions of the equation. Applications to some population models are also given.

Słowa kluczowe

EN

higher order difference equations; positive equilibrium; unimodal term; global attractivity; population model

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2023
• Tom: Vol. 43, no. 2
• Strony: 131--143
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Almaslokh Abdulaziz

• Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA

autor

Qian Chuanxi

• Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)